Properties

Label 100800.hs
Number of curves $1$
Conductor $100800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hs1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.hs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.hs1 100800mm1 \([0, 0, 0, -180, 1080]\) \(-34560/7\) \(-130636800\) \([]\) \(36864\) \(0.27981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.hs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100800.hs do not have complex multiplication.

Modular form 100800.2.a.hs

sage: E.q_eigenform(10)
 
\(q - q^{7} + 5 q^{11} + 6 q^{13} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display